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Area of Science:

  • Theoretical Physics
  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Understanding transport phenomena is crucial for condensed matter and cold atomic systems.
  • Effective field theories provide a framework for studying systems near thermal equilibrium.
  • Late-time correlation functions reveal essential dynamic properties.

Purpose of the Study:

  • To compute late-time correlation functions of conserved densities using a novel effective field theory.
  • To investigate the impact of nonlinear hydrodynamic self-interactions on diffusive poles.
  • To explore the implications of these findings for strongly correlated transport.

Main Methods:

  • Application of the effective field theory of fluctuations around thermal equilibrium.
  • Focus on systems with a single conservation law.
  • Calculation of density-density Green's functions.

Main Results:

  • The diffusive pole is found to be shifted due to nonlinear hydrodynamic self-interactions.
  • A branch point is identified in the density-density Green's function at ω=-(i/2)Dk².
  • The study provides insights into the behavior of diffusive fluctuations.

Conclusions:

  • Nonlinear hydrodynamic interactions significantly modify diffusive behavior.
  • The identified branch point offers new perspectives on transport properties.
  • These findings are relevant for strongly correlated transport in various physical systems.